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arXiv · 1708.03363

$(p,q)$-regular operators between Banach lattices

Enrique A. Sánchez-Pérez·Pedro Tradacete
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Abstract

We study the class of $(p,q)$-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given. We also provide some factorization results for $(p,q)$-regular operators yielding new Marcinkiewicz-Zygmund type inequalities for Banach function spaces. An extension theorem for $(q, \infty)$-regular operators defined on a subspace of $L_q$ is also given.

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Enrique A. Sánchez-Pérez, Pedro Tradacete. 2017-08-10. $(p,q)$-regular operators between Banach lattices. https://arxiv.org/abs/1708.03363

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